About ergodicity for simulation of traffic flows of a large city

Matsievsky S., Drozdetsky S., Tarnovsky P., Yurkov P., Muzychin V., Dubinin I.

Use of ergodicity for traffic flow simulation is proved. The terms of a concept of ergodicity are considered. Ergodic Theorem as justification of statistical properties of a measurable space group action is discussed. Zermelo paradox is discussed. A proof of Poincare recurrence theorem is provided. Use of numerical methods of convex function minimization is proved.

Keywords:simulation, traffic flow, ergodicity, Ergodic Theorem, Poincare recurrence theorem, Zermelo paradox, convex function minimization.